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Finding the Fourth Proportional to 268,830.80, 402,857.40 and 118,948.40

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Solution

The fourth proportional to 268,830.80, 402,857.40 and 118,948.40 is: 178,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,830.80 : 402,857.40 = 118,948.40 : x
  2. Step 2: Convert to fraction form
    268,830.80/402,857.40 = 118,948.40/x
  3. Step 3: Cross multiply
    268,830.80x = 402,857.40 × 118,948.40
  4. Step 4: Simplify right side
    268,830.80x = 47,919,243,158.16
  5. Step 5: Solve for x
    x = 47,919,243,158.16/268,830.80
  6. Step 6: Final answer
    x = 178,250.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.